how did aryabhata invent 0 a full essay
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Step-by-step explanation:
Aryabhata is the first of the great astronomers of the classical age of India. He was born in 476 AD in Ashmaka but later lived in Kusumapura, which his commentator Bhaskara I (629 AD) identifies with Patilputra (modern Patna).
Aryabhata gave the world the digit "0" (zero) for which he became immortal. His book, the Aryabhatiya, presented astronomical and mathematical theories in which the Earth was taken to be spinning on its axis and the periods of the planets were given with respect to the sun (in other words, it was heliocentric). This book is divided into four chapters: the astronomical constants and the sine table mathematics required for computations division of time and rules for computing the longitudes of planets using eccentrics and epicycles the armillary sphere, rules relating to problems of trigonometry and the computation of eclipses. In this book, the day was reckoned from one sunrise to the next, whereas in his ?ryabhata-siddh?nta he took the day from one midnight to another. There was also difference in some astronomical parameters.
Aryabhata also gave an accurate approximation for Pi. In the Aryabhatiya, he wrote: "Add four to one hundred, multiply by eight and then add sixty-two thousand. the result is approximately the circumference of a circle of diameter twenty thousand. By this rule the relation of the circumference to diameter is given." In other words, ? = 62832/20000 = 3.1416, correct to four rounded-off decimal places.
Aryabhatta was the first Indian mathematician and astronomer. He had immense knowledge in the field of mathematics. Moreover, he did he may discoveries during his era. For instance, some of them were the discovery of algebraic identities, trigonometrical functions, the value of pi, Place value system, etc.
Furthermore, he wrote many books which still help us in performing various calculations. Aryabhatta was a great influence to many youngsters. For he excelled in academics from a very early age. Moreover, he contributed much to the society his works and theories are still remembered and honored till date.
The Early Life of Aryabhatta
Aryabhatta was born in 475 A.D. Furthermore his birthplace eas not sure, but in his book the ‘Aryabhatiya’, he mentions that he was a native of Kusumapura the modern-day Patna. Moreover, from his historical records, the archaeologists believed that he continued his further studies in Kusumapura. Because in Kusumapura his major astronomical observatory was located.
Therefore, we can ascertain that Aryabhatta spent most of the time there. Further, some historians believe that he was also the head of Nalanda University in Kusumpura. Though these theories are all on a probable basis because no proper evidence was there except the books Arybhatta wrote in his lifetime. Yet some of his records were lost and are not found till date.
Work of Aryabhatta
Aryabhatta contributed greatly to the field of mathematics. For instance, he was responsible for discovering various trigonometrical functions which are useful for us in the modern era too.
Furthermore, his discovery for the value of ‘pi’ eased the complications in mathematics. Above all, he founded the place value system and zero which are one of his major contributions in the history of mathematics. Most Noteworthy is that every theory is in his book ‘Aryabhatiya’ which states astronomical theories. Furthermore, his book divides into different sections of mathematics and astronomy.
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